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\( P(\theta) \) and \( Q(\varphi) \) are two points on \( x^{2} / a^{2}-y^{2} / b^{2}=1 \)
\( \mathrm{P}^{11:} \) such that \( \theta-\varphi=2 \alpha, P Q \) touches the conic

W
(1) \( \frac{x^{2} \cos ^{2} \alpha}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \)
(2) \( \frac{x^{2}}{a^{2}}-\frac{y^{2} \cos ^{2} \alpha}{b^{2}}=1 \)
(3) \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=\cos ^{2} \alpha \)
(4) None of these
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